Remarks on a projective transformation of a compact Riemannian manifold. (English) Zbl 0962.53024
Author’s abstract: “We prove that, if a compact Riemannian manifold with constant scalar curvature admits a non-affine projective transformation which preserves the covariant derivative of Ricci tensor field or the gravitational tensor field, then the scalar curvature is positive”.
MSC:
53C20 | Global Riemannian geometry, including pinching |